134880 has 48 divisors (see below), whose sum is σ = 426384. Its totient is φ = 35840.

The previous prime is 134873. The next prime is 134887. The reversal of 134880 is 88431.

It is an interprime number because it is at equal distance from previous prime (134873) and next prime (134887).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×134880² = 36385228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (8883).

2¹³⁴⁸⁸⁰ is an apocalyptic number.

134880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213192).

134880 is an abundant number, since it is smaller than the sum of its proper divisors (291504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134880 is a wasteful number, since it uses less digits than its factorization.

134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 134880 is about 367.2601257964. The cubic root of 134880 is about 51.2840741082.

The spelling of 134880 in words is "one hundred thirty-four thousand, eight hundred eighty".